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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 30, 1996 - Issue 3
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Original Articles

MODIFIED SIMPLE FORMULATION ON A COLLOCATED GRID WITH AN ASSESSMENT OF THE SIMPLIFIED QUICK SCHEME

M.M. Rahman Department of Mechanical Engineering, Helsinki University of Technology, Laboratory of Applied Thermodynamics, Espoo, FIN-02150, Finland
,
A. Miettinen Department of Mechanical Engineering, Helsinki University of Technology, Laboratory of Applied Thermodynamics, Espoo, FIN-02150, Finland
&
T. Siikonen Department of Mechanical Engineering, Helsinki University of Technology, Laboratory of Applied Thermodynamics, Espoo, FIN-02150, Finland
Pages 291-314 | Received 08 Jan 1996, Accepted 15 Mar 1996, Published online: 25 Apr 2007

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M. M. Rahman. (2020) Avoiding under-relaxations in SIMPLE algorithm. Numerical Heat Transfer, Part B: Fundamentals 78:5, pages 310-329.
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M.M. Rahman, R.K. Agarwal & T. Siikonen. (2016) RAS one-equation turbulence model with non-singular eddy-viscosity coefficient. International Journal of Computational Fluid Dynamics 30:2, pages 89-106.
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Cheng Cheng & Xiaobing Zhang. (2015) Two-Dimensional Numerical Simulation of Gas–Solid Reactive Flow with Moving Boundary. Combustion Science and Technology 187:7, pages 977-998.
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Amir Mardani, Sadegh Tabejamaat & Mohammadreza Baig Mohammadi. (2011) Numerical study of the effect of turbulence on rate of reactions in the MILD combustion regime. Combustion Theory and Modelling 15:6, pages 753-772.
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Amir Mardani, Sadegh Tabejamaat & Mohsen Ghamari. (2010) Numerical study of influence of molecular diffusion in the Mild combustion regime. Combustion Theory and Modelling 14:5, pages 747-774.
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Ana Cubero & Norberto Fueyo. (2007) A Compact Momentum Interpolation Procedure for Unsteady Flows and Relaxation. Numerical Heat Transfer, Part B: Fundamentals 52:6, pages 507-529.
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Masoud Darbandi & Vahab Mokarizadeh. (2004) A MODIFIED PRESSURE-BASED ALGORITHM TO SOLVE FLOW FIELDS WITH SHOCK AND EXPANSION WAVES. Numerical Heat Transfer, Part B: Fundamentals 46:5, pages 497-504.
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Jianren Fan, Xinyu Zhang, Guangda You & Kefa Cen. (2003) Study on fluid flow characteristics in different load cases in tangentially fired furnaces. Chemical Engineering Communications 190:10, pages 1348-1370.
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M. M. Rahman & T. Siikonen. (2002) A DUAL-DISSIPATION SCHEME FOR PRESSURE-VELOCITY COUPLING. Numerical Heat Transfer, Part B: Fundamentals 42:3, pages 231-242.
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Bo Yu, Wen-Quan Tao, Jin-Jia Wei, Yasuo Kawaguchi, Toshio Tagawa & Hiroyuki Ozoe. (2002) DISCUSSION ON MOMENTUM INTERPOLATION METHOD FOR COLLOCATED GRIDS OF INCOMPRESSIBLE FLOW. Numerical Heat Transfer, Part B: Fundamentals 42:2, pages 141-166.
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Yasuo Kawaguchi, Wen-Quan Tao & Hiroyuki Ozoe. (2002) CHECKERBOARD PRESSURE PREDICTIONS DUE TO THE UNDERRELAXATION FACTOR AND TIME STEP SIZE FOR A NONSTAGGERED GRID WITH MOMENTUM INTERPOLATION METHOD. Numerical Heat Transfer, Part B: Fundamentals 41:1, pages 85-94.
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M. M. Rahman, T. Siikonen. (2001) AN ARTIFICIAL COMPRESSIBILITY METHOD FOR INCOMPRESSIBLE FLOWS. Numerical Heat Transfer, Part B: Fundamentals 40:5, pages 391-409.
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M.M. Rahman, T. Siikonen & A. Miettinen. (1997) A PRESSURE-CORRECTION METHOD FOR SOLVING FLUID FLOW PROBLEMS ON A COLLOCATED GRID. Numerical Heat Transfer, Part B: Fundamentals 32:1, pages 63-84.
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Articles from other publishers (48)

M.M. Rahman, Wenchang Liu, Ming Lv & Huachen Pan. (2023) Exploring SIMPLE algorithm for all speeds. Ain Shams Engineering Journal 14:2, pages 101854.
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Md Mizanur Rahman, K. Hasan, Zhiqian Sang & Zing Ni. (2022) Lax-Wendroff method for incompressible flow. Journal of Physics: Conference Series 2313:1, pages 012002.
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Katarzyna Szwedziak, Tomasz Łusiak, Robert Bąbel, Przemysław Winiarski, Sebastian Podsędek, Petr Doležal & Gniewko Niedbała. (2022) Wind Tunnel Experiments on an Aircraft Model Fabricated Using a 3D Printing Technique. Journal of Manufacturing and Materials Processing 6:1, pages 12.
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Jalal Zarvandi, Mohammadreza Baigmohammadi & Sadegh Tabejamaat. (2021) A Numerical Study on the Effects of the Geometry and Location of an Inserted Wire on Methane–Air Flames in a Micro–Burner. Energies 15:1, pages 93.
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M.M. Rahman. (2021) Compromising with corrector step of SIMPLE Algorithm. Mathematics and Computers in Simulation 188, pages 135-163.
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Md Mizanur Rahman, Feroz Alam, Zefei Zhu & AKM Sadrul Islam. (2021) Development of artificial compressibility method with elliptic relaxation approach. Journal of Physics: Conference Series 1978:1, pages 012027.
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Jian Qin, Huachen Pan, M.M. Rahman, Xiaoqing Tian & Zefei Zhu. (2021) Introducing compressibility with SIMPLE algorithm. Mathematics and Computers in Simulation 180, pages 328-353.
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M. M. Rahman. (2020) Assessment of Shear Stress Transport Model with Its Variant for Heat Transfer Problems. Journal of Thermophysics and Heat Transfer 34:3, pages 640-649.
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Cheng Cheng, Chong Wang & Xiaobing Zhang. (2019) A prediction method for the performance of a low-recoil gun with front nozzle. Defence Technology 15:5, pages 703-712.
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Mohammadreza Baigmohammadi, Sadegh Tabejamaat & Zeinab Javanbakht. (2018) Numerical Study of Methane–Oxygen Premixed Flame Characteristics in Non-adiabatic Cylindrical Meso-Scale Reactors with the Backward-Facing Step. Iranian Journal of Science and Technology, Transactions of Mechanical Engineering 43:S1, pages 117-140.
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M.M. Rahman, V. Vuorinen, J. Taghinia & M. Larmi. (2019) Wall-distance-free formulation for SST - model . European Journal of Mechanics - B/Fluids 75, pages 71-82.
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Paul Bartholomew, Fabian Denner, Mohd Hazmil Abdol-Azis, Andrew Marquis & Berend G.M. van Wachem. (2018) Unified formulation of the momentum-weighted interpolation for collocated variable arrangements. Journal of Computational Physics 375, pages 177-208.
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Davide Monsorno, Athanassios A. Dimas & Miltiadis V. Papalexandris. (2018) Time-accurate calculation of two-phase granular flows exhibiting compaction, dilatancy and nonlinear rheology. Journal of Computational Physics 372, pages 799-822.
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Javad Henrik Taghinia, Md Mizanur Rahman & Xiaoshu Lu. (2018) Effects of different CFD modeling approaches and simplification of shape on prediction of flow field around manikin. Energy and Buildings 170, pages 47-60.
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Javad H. Taghinia, Md Mizanur Rahman & Timo Siikonen. (2018) A sub-grid scale model with natural near-wall damping. Aerospace Science and Technology 74, pages 1-16.
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Javad Taghinia & Md Mizanur Rahman. (2018) Large eddy simulation of round impinging jet with one-equation subgrid scale model. International Journal of Heat and Mass Transfer 116, pages 1250-1259.
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Cheng Cheng & Xiaobing Zhang. (2017) Influence of serial and parallel structures on the two-phase flow behaviors for dual combustion chambers with a propelled body. Powder Technology 314, pages 442-454.
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Amir Mardani, Mohammadreza Yahyavi Koochaksarai & Khodayar Javadi. (2016) Numerical study on boundary layer control using CH4H2air Micro-reacting jet. International Journal of Hydrogen Energy 41:47, pages 22433-22452.
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Javad Taghinia, Md Mizanur Rahman & Tim K.T. Tse. (2016) Assessment of zero-equation SGS models for simulating indoor environment. Heat and Mass Transfer 52:12, pages 2781-2794.
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Cheng Cheng & Xiaobing Zhang. (2016) Numerical modeling and investigation of two-phase reactive flow in a high-low pressure chambers system. Applied Thermal Engineering 99, pages 244-252.
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Javad Taghinia, Mizanur Rahman, Tim K.T. Tse & Timo Siikonen. (2016) CFD modeling of homogenizer valve: A comparative study. Chemical Engineering Research and Design 106, pages 327-336.
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Javad Taghinia, Md Mizanur Rahman & Timo Siikonen. (2015) Numerical simulation of airflow and temperature fields around an occupant in indoor environment. Energy and Buildings 104, pages 199-207.
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C. Varsakelis, D. Monsorno & M.V. Papalexandris. (2015) Projection methods for two velocity–two pressure models for flows of heterogeneous mixtures. Computers & Mathematics with Applications 70:5, pages 1024-1045.
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Javad Taghinia, Md Mizanur Rahman & Timo Siikonen. (2015) Large eddy simulation of flow past a circular cylinder with a novel sub-grid scale model. European Journal of Mechanics - B/Fluids 52, pages 11-18.
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Javad Taghinia, Md Mizanur Rahman & Timo Siikonen. (2015) Large eddy simulation of a high-pressure homogenizer valve. Chemical Engineering Science 131, pages 41-48.
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Javad Taghinia, Mizanur Rahman & Timo Siikonen. (2015) Heat transfer and flow analysis of jet impingement on concave surfaces. Applied Thermal Engineering 84, pages 448-459.
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Javad Taghinia, Mizanur Rahman & Timo Siikonen. (2015) Simulation of indoor airflow with RAST and SST-SAS models: A comparative study. Building Simulation 8:3, pages 297-306.
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Ana Cubero, Alberto Sánchez-Insa & Norberto Fueyo. (2014) A consistent momentum interpolation method for steady and unsteady multiphase flows. Computers & Chemical Engineering 62, pages 96-107.
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Hanif Montazeri & C.A. Ward. (2014) A balanced-force algorithm for two-phase flows. Journal of Computational Physics 257, pages 645-669.
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Amir Mardani, Sadegh Tabejamaat & Shahla Hassanpour. (2013) Numerical study of CO and CO2 formation in CH4/H2 blended flame under MILD condition. Combustion and Flame 160:9, pages 1636-1649.
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Mohammadreza Baigmohammadi, Soroush Sarrafan Sadeghi, Sadegh Tabejamaat & Jalal Zarvandi. (2013) Numerical study of the effects of wire insertion on CH4(methane)/AIR pre-mixed flame in a micro combustor. Energy 54, pages 271-284.
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Hanif Montazeri, Markus Bussmann & Javad Mostaghimi. (2012) Accurate implementation of forcing terms for two-phase flows into SIMPLE algorithm. International Journal of Multiphase Flow 45, pages 40-52.
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Jalal Zarvandi, Sadegh Tabejamaat & Mohammadreza Baigmohammadi. (2012) Numerical study of the effects of heat transfer methods on CH4/(CH4 + H2)-AIR pre-mixed flames in a micro-stepped tube. Energy 44:1, pages 396-409.
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Wang Li, Bo Yu, Xin-ran Wang & Shu-yu Sun. (2012) Calculation of cell face velocity of non-staggered grid system. Applied Mathematics and Mechanics 33:8, pages 991-1000.
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Y. P. Cheng, T. S. Lee, Y. Sui & L. P. Wang. (2011) Numerical simulation of 2D lid-driven cavity flow with CLEARER algorithm on extremely highly skewed grids at high Reynolds numbers. International Journal for Numerical Methods in Fluids 65:10, pages 1201-1216.
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A. Pascau. (2011) Cell face velocity alternatives in a structured colocated grid for the unsteady Navier-Stokes equations. International Journal for Numerical Methods in Fluids 65:7, pages 812-833.
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John C. Patterson, Chengwang Lei, Steve W. Armfield & Wenxian Lin. (2009) Scaling of unsteady natural convection boundary layers with a non-instantaneous initiation. International Journal of Thermal Sciences 48:10, pages 1843-1852.
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M.M. Rahman & T. Siikonen. (2009) An eddy viscosity model with elliptic relaxation approach. International Journal of Heat and Fluid Flow 30:2, pages 319-330.
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M. M. Rahman & T. Siikonen. (2008) An artificial compressibility method for viscous incompressible and low Mach number flows. International Journal for Numerical Methods in Engineering 75:11, pages 1320-1340.
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Masoud Darbandi, Ehsan Roohi & Vahab Mokarizadeh. (2008) Conceptual linearization of Euler governing equations to solve high speed compressible flow using a pressure-based method. Numerical Methods for Partial Differential Equations 24:2, pages 583-604.
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S.W. Armfield, John C. Patterson & Wenxian Lin. (2007) Scaling investigation of the natural convection boundary layer on an evenly heated plate. International Journal of Heat and Mass Transfer 50:7-8, pages 1592-1602.
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Panagiotis Neofytou. (2007) Revision of the characteristics-based scheme for incompressible flows. Journal of Computational Physics 222:2, pages 475-484.
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Panagiotis Neofytou. (2005) A 3rd order upwind finite volume method for generalised Newtonian fluid flows. Advances in Engineering Software 36:10, pages 664-680.
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Catherine A. Baxevanou & Nicolas S. Vlachos. (2016) A Comparative Study of Numerical Schemes and Turbulence Models for Wind Turbine Aerodynamics Modelling. Wind Engineering 28:3, pages 275-290.
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Zhou Hao, Cen Kefa & Sun Ping. (2002) Prediction of ash deposition in ash hopper when tilting burners are used. Fuel Processing Technology 79:2, pages 181-195.
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Jianren Fan, Ligeng Qian, Yinliang Ma, Ping Sun & Kefa Cen. (2001) Computational modeling of pulverized coal combustion processes in tangentially fired furnaces. Chemical Engineering Journal 81:1-3, pages 261-269.
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Benwen Li, Jicheng He & Wenquan Tao. (1999) Six convective difference schemes on different grid systems for fluid flow and heat transfer with SIMPLE algorithm. Journal of Thermal Science 8:4, pages 250-261.
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Jianren Fan, Ping Sun, Xudong Zha & Kefa Cen. (1999) Modeling of Combustion Process in 600 MW Utility Boiler Using Comprehensive Models and Its Experimental Validation. Energy & Fuels 13:5, pages 1051-1057.
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